Finding the Third Proportional to 75,648.94 and 106,020.14
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Solution
The third proportional to 75,648.94 and 106,020.14 is: 148,584.64
Step by Step Solution
- Step 1: Write the proportion equation
75,648.94 : 106,020.14 = 106,020.14 : x - Step 2: Convert to fraction form
75,648.94/106,020.14 = 106,020.14/x - Step 3: Cross multiply
75,648.94x = 106,020.14 × 106,020.14 - Step 4: Simplify right side
75,648.94x = 11,240,270,218.14 - Step 5: Solve for x
x = 11,240,270,218.14/75,648.94 - Step 6: Final answer
x = 148,584.64
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.